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Finding the Fourth Proportional to 294,778.93, 442,201.35 and 105,283.21

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Solution

The fourth proportional to 294,778.93, 442,201.35 and 105,283.21 is: 157,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,778.93 : 442,201.35 = 105,283.21 : x
  2. Step 2: Convert to fraction form
    294,778.93/442,201.35 = 105,283.21/x
  3. Step 3: Cross multiply
    294,778.93x = 442,201.35 × 105,283.21
  4. Step 4: Simplify right side
    294,778.93x = 46,556,377,594.33
  5. Step 5: Solve for x
    x = 46,556,377,594.33/294,778.93
  6. Step 6: Final answer
    x = 157,936.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.